Question

Binary numbers to their decimal 11101100

Answer 1

Answer:

(236)10

Explanation:

(11101100)2 = (236)10

Step by step solution

Step 1: Write down the binary number:

11101100

Step 2: Multiply each digit of the binary number by the corresponding power of two:

1x27 + 1x26 + 1x25 + 0x24 + 1x23 + 1x22 + 0x21 + 0x20

Step 3: Solve the powers:

1x128 + 1x64 + 1x32 + 0x16 + 1x8 + 1x4 + 0x2 + 0x1 = 128 + 64 + 32 + 0 + 8 + 4 + 0 + 0

Step 4: Add up the numbers written above:

128 + 64 + 32 + 0 + 8 + 4 + 0 + 0 = 236.

So, 236 is the decimal equivalent of the binary number 11101100.